在污染环境下竞争Monod恒化器模型的动力学分析  

Dynamic Analysis of Competitive Monod Chemostat Model in a Polluted Environment

作　　者：魏春金[1] 陈兰荪[2] 

机构地区：[1]集美大学理学院,厦门361021 [2]中国科学院数学与系统科学研究院,北京100190

出　　处：《应用数学学报》2010年第6期990-1000,共11页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(10771179)资助项目

摘　　要：本文考虑了一类在污染环境下具有时滞增长反应及脉冲输入营养基的恒化器模型.获得微生物灭绝周期解全局吸引的充分条件,并运用脉冲微分方程的相关理论和方法,证明了系统在适当的条件下是持久的,结论还表明该时滞是有害时滞.In this paper,we consider a competitive chemostat model with delayed growth response and pulsed input in a polluted environment.We obtain the sufficient conditions for the global attractivity of microorganism-extinction periodic solution.Furthermore,using corresponding theories and methods of impulsive delayed diferential equation,we proved that the system is permanent under appropriate conditions.The results show that time delay is profitless.

关 键 词：脉冲输入 恒化器模型 增长反应时滞 持久性 灭绝 

分 类 号：O175.12[理学—数学]